GCD of 451, 307, 749, 312 Calculator

Given Input numbers are 451, 307, 749, 312

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 451, 307, 749, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 307, 749, 312 is 1.

Therefore, GCD of numbers 451, 307, 749, 312 is 1

Given Input Data is 451, 307, 749, 312

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 451 is 11 x 41

Prime Factorization of 307 is 307

Prime Factorization of 749 is 7 x 107

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(451, 307) = 138457

GCD(451, 307) = ( 451 x 307 ) / 138457

GCD(451, 307) = 138457 / 138457

GCD(451, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 451, 307, 749, 312 is 1

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1. What is the GCD of 451, 307, 749, 312?

GCD of 451, 307, 749, 312 is 1

2. Where do I get the detailed procedure to find GCD of 451, 307, 749, 312?

You can find a detailed procedure to find GCD of 451, 307, 749, 312 on our page.

3. How to find GCD of 451, 307, 749, 312 on a calculator?

You can find the GCD of 451, 307, 749, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.